1⼀1×4+1⼀4×7+1⼀7×10+···+1⼀17×20怎么算

2024-12-26 02:06:18
推荐回答(3个)
回答1:

1/1×4+1/4×7+1/7×10+···+1/17×20
=1/3x(1-1/4+1/4-1/7+1/7-1/10+...+1/17-1/20)
=1/3x(1-1/20)
=19/60

回答2:

1/1×4+1/4×7+1/7×10+···+1/17×20
=(1/1-1/4+1/4-1/7+1/7-.................-1/20)/3
=(1-1/20)/3
=19/60

回答3:

1/1×4+1/4×7+1/7×10+···+1/17×20
=1/3×(1-1/4+1/4-1/7+1/17-1/20)
=1/3×(1-1/20)
=1/3×19/20
=19/60